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Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models
8 references·10 citing·44 second hop
Component mode synthesis and polynomial chaos expansions for stochastic frequency functions of large linear FE models (2010)Component mode synthesis and polynomial c…Stochastic Finite Element Method (2021)Stochastic Finite Element Met…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Random matrix eigenvalue problems in structural dynamics (2006)Random matrix eigenvalue prob…Computational stochastic mechanics – recent advances (2001)Computational stochastic mech…Dynamic analysis of framed structures with statistical uncertainties (1999)Dynamic analysis of framed st…Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration (1998)Adaptive polynomial chaos exp…The stochastic finite-element method (1980)The stochastic finite-element…Monte Carlo solution of structural dynamics (1972)Monte Carlo solution of struc…A two-stage Polynomial Chaos Expansion application for bound estimation of uncertain FRFs (2023)A two-stage Polynomial Chaos …Uncertainty Quantification of Mode Shape Variation Utilizing Multi-Level Multi-Response Gaussian Process (2020)Uncertainty Quantification of…Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition (2020)Uncertainty propagation in dy…Uncertainty quantification/propagation in nonlinear models (2017)Uncertainty quantification/pr…Dynamic response of a spur gear system with uncertain parameters (2016)Dynamic response of a spur ge…Variability analysis of frequency dependent visco-elastic three-layered beams (2015)Variability analysis of frequ…Time response of structures with uncertain parameters under stochastic inputs based on coupled polynomial chaos expansion and component mode synthesis methods (2015)Time response of structures w…Dynamic analysis of large structures with uncertain parameters based on coupling component mode synthesis and perturbation method (2015)Dynamic analysis of large str…A stochastic methodology for predictions of the environment created by multiple microvibration sources (2015)A stochastic methodology for …A polynomial chaos method to the analysis of the dynamic behavior of spur gear system (2015)A polynomial chaos method to …Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Polynomial chaos expansion for sensitivity analysis (2008)Dynamic response analysis of Vertical Axis Wind Turbine geared transmission system with uncertainty (2017)Consideration of multi-variable uncertainty using the GPC method for the dynamic study of a two-stage gearbox of a wind turbine (2022)Structural Dynamics with Parameter Uncertainties (1987)Stochastic Finite Elements: A Spectral Approach (1991)Matrix Variate Distributions for Probabilistic Structural Dynamics (2007)Stochastic free vibration of orthotropic plates using generalized polynomial chaos expansion (2011)Polynomial Chaos Expansion and Steady-State Response of a Class of Random Dynamical Systems (2014)The eigenvalue problem for structural systems with statistical properties. 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this work references cited by second hop

References

  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1980The stochastic finite-element method641 cited
  • 1972Monte Carlo solution of structural dynamics629 cited
  • 2001Computational stochastic mechanics – recent advances207 cited
  • 1998Adaptive polynomial chaos expansions applied to statistics of extremes in nonlinear random vibration106 cited
  • 2006Random matrix eigenvalue problems in structural dynamics98 cited
  • 2021Stochastic Finite Element Method96 cited
  • 1999Dynamic analysis of framed structures with statistical uncertainties89 cited

Cited by

  • 2015A polynomial chaos method to the analysis of the dynamic behavior of spur gear system36 cited
  • 2015Variability analysis of frequency dependent visco-elastic three-layered beams28 cited
  • 2015A stochastic methodology for predictions of the environment created by multiple microvibration sources27 cited
  • 2020Uncertainty Quantification of Mode Shape Variation Utilizing Multi-Level Multi-Response Gaussian Process26 cited
  • 2020Uncertainty propagation in dynamic sub-structuring by model reduction integrated domain decomposition21 cited
  • 2015Dynamic analysis of large structures with uncertain parameters based on coupling component mode synthesis and perturbation method

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18 cited
  • 2016Dynamic response of a spur gear system with uncertain parameters13 cited
  • 2023A two-stage Polynomial Chaos Expansion application for bound estimation of uncertain FRFs12 cited
  • 2017Uncertainty quantification/propagation in nonlinear models11 cited
  • 2015Time response of structures with uncertain parameters under stochastic inputs based on coupled polynomial chaos expansion and component mode synthesis methods9 cited